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5385325440 = 273511254987
BaseRepresentation
bin1010000001111110…
…11000101110000000
3111220022102212200210
411000333120232000
542012120403230
62250214114120
7250311340155
oct50077305600
914808385623
105385325440
11231396a790
12106364b940
1367a932a01
1439132622c
15217bbbeb0
hex140fd8b80

5385325440 has 128 divisors (see below), whose sum is σ = 18726318720. Its totient is φ = 1305528320.

The previous prime is 5385325427. The next prime is 5385325447. The reversal of 5385325440 is 445235835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×53853254402 = 58003460189422387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385325447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106374 + ... + 148613.

It is an arithmetic number, because the mean of its divisors is an integer number (146299365).

Almost surely, 25385325440 is an apocalyptic number.

It is an amenable number.

5385325440 is an abundant number, since it is smaller than the sum of its proper divisors (13340993280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5385325440 is a wasteful number, since it uses less digits than its factorization.

5385325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255020 (or 255008 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 5385325440 is about 73384.7766229482. The cubic root of 5385325440 is about 1752.8199910465.

The spelling of 5385325440 in words is "five billion, three hundred eighty-five million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 254987 509974 764961 1019948 1274935 1529922 2039896 2549870 2804857 3059844 3824805 4079792 5099740 5609714 6119688 7649610 8159584 8414571 10199480 11219428 12239376 14024285 15299220 16319168 16829142 20398960 22438856 24478752 28048570 30598440 32638336 33658284 40797920 42072855 44877712 48957504 56097140 61196880 67316568 81595840 84145710 89755424 97915008 112194280 122393760 134633136 163191680 168291420 179510848 224388560 244787520 269266272 336582840 359021696 448777120 489575040 538532544 673165680 897554240 1077065088 1346331360 1795108480 2692662720 5385325440